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Avtomatika i Telemekhanika, 2009, Issue 6, Pages 58–73 (Mi at483)  
This article is cited in 3 scientific papers (total in 3 papers)

Deterministic Systems

Topological method for analysis of periodic canards

A. A. Zhezherunab, A. V. Pokrovskiiac

a University College Cork
b Samara State Regional Nayanova University, Samara, Russia
c Institute for Information Transmission Problems, Moscow, Russia
Full-text PDF (227 kB) Citations (3)
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Abstract: Singularly perturbed systems of ordinary differential equations are studied. A method for analysis of canard-type trajectories in such systems based on the topological degree theory is suggested. The method does not require smoothness of the right-hand side of the system. A result on the existence of periodic canards in systems with non-smooth perturbations is obtained. The trajectories located in this way are not necessarily Lyapunov stable, and appropriate control algorithms are required to stabilize them, e.g., feedback control.
Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 04.08.2008
English version:
Automation and Remote Control, 2009, Volume 70, Issue 6, Pages 967–981
DOI: https://doi.org/10.1134/S0005117909060058
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: A. A. Zhezherun, A. V. Pokrovskii, “Topological method for analysis of periodic canards”, Avtomat. i Telemekh., 2009, no. 6, 58–73; Autom. Remote Control, 70:6 (2009), 967–981
Citation in format AMSBIB
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\paper Topological method for analysis of periodic canards
\jour Avtomat. i Telemekh.
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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